A duality formula and a particle Gibbs sampler for continuous time Feynman-Kac measures on path spaces [PDF]
Electronic Journal of Probability, 2018 Continuous time Feynman-Kac measures on path spaces are central in applied probability, partial differential equation theory, as well as in quantum physics. This article presents a new duality formula between normalized Feynman-Kac distribution and their
M. Arnaudon, P. Moral, P. Moral
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Less is More/More Diverse: On The Communicative Utility of Linguistic Conventionalization
Frontiers in Communication, 2021 We present empirical evidence of the communicative utility of conventionalization, i.e., convergence in linguistic usage over time, and diversification, i.e., linguistic items acquiring different, more specific usages/meanings.
Elke Teich +3 more
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Carleson measures, trees, extrapolation, and T(b) theorems [PDF]
, 2002 The theory of Carleson measures, stopping time arguments, and atomic decompositions has been well-established in harmonic analysis. More recent is the theory of phase space analysis from the point of view of wave packets on tiles, tree selection ...
S. Hofmann +9 more
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Weak convergence of tensor products of vector measures with values in nuclear spaces
Bulletin of the Australian Mathematical Society, 1999 We study weak convergence of tensor products of vector measures with values in nuclear spaces, such as the space of all rapidly decreasing, infinitely differentiable functions, the space of all test functions, and the strong duals of those spaces.
J. Kawabe
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µ-Integrable Functions and Weak Convergence of Probability Measures in Complete Paranormed Spaces
MathematicsThis paper works with functions defined in metric spaces and takes values in complete paranormed vector spaces or in Banach spaces, and proves some necessary and sufficient conditions for weak convergence of probability measures.
Renying Zeng
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Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications [PDF]
Cambridge Journal of Mathematics, 2020 The goal of the present work is three-fold. The first goal is to set foundational results on optimal transport in Lorentzian synthetic spaces, including cyclical monotonicity, stability of optimal couplings and Kantorovich duality (several results are ...
Fabio Cavalletti, Andrea Mondino
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Applications of MR-Metric Spaces in Measure Theory and Convergence Analysis
European Journal of Pure and Applied MathematicsThis paper investigates the role of MR-metric spaces in the fields of measure theory and convergence analysis. We analyze how measures defined through a triadic metric function reveal key characteristics such as $\sigma$-finiteness and absolute ...
Abed Al-Rahman M. Malkawi, A. Rabaiah
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Simple Bounds for the Convergence of Empirical and Occupation Measures in 1-Wasserstein Distance [PDF]
, 2011 We study the problem of non-asymptotic deviations between a reference measure and its empirical version, in the 1-Wasserstein metric, under the standing assumption that the reference measure satisfies a transport-entropy inequality.
Emmanuel Boissard
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Landscape planning and climate changes: a multidisciplinary approach in São Carlos (SP) [PDF]
Ambiente & SociedadeThe articulations needed for an adaptation regarding climate changes are also important in medium and small size cities, which reproduce logics similar to those of metropoles.
Renata Bovo Peres +1 more
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On Four Classical Measure Theorems
Mathematics, 2021 A subset B of an algebra A of subsets of a set Ω has property (N) if each B-pointwise bounded sequence of the Banach space ba(A) is bounded in ba(A), where ba(A) is the Banach space of real or complex bounded finitely additive measures defined on A ...
Salvador López-Alfonso +2 more
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